Abstract
This paper presents explicit formulae of the T-stress for a penny-shaped crack in a transversely isotropic, linearly elastic, infinite medium under remote triaxial stress and crack-face normal traction. The T-stress Green’s function for a pair of opposite unit point forces is established first in a closed-form and these results are then utilized to derive the integral formulae of the T-stress for a penny-shaped crack under general loading conditions. The explicit dependence of the T-stress on material properties for both isotropic and transversely isotropic solids is presented. The closed-form expressions of the T-stress for uniform remote triaxial stresses and uniform, linear, and axisymmetric normal tractions are also reported.
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